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Finding the Fourth Proportional to 689.58, 951.57 and 456.30

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Solution

The fourth proportional to 689.58, 951.57 and 456.30 is: 629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.58 : 951.57 = 456.30 : x
  2. Step 2: Convert to fraction form
    689.58/951.57 = 456.30/x
  3. Step 3: Cross multiply
    689.58x = 951.57 × 456.30
  4. Step 4: Simplify right side
    689.58x = 434,201.39
  5. Step 5: Solve for x
    x = 434,201.39/689.58
  6. Step 6: Final answer
    x = 629.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.